Improving Instruction In Rational Numbers And Proportionality
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Improving Instruction In Rational Numbers And Proportionality
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Author : Margaret Schwan Smith
language : en
Publisher: Teachers College Press
Release Date : 2005-01-01
Improving Instruction In Rational Numbers And Proportionality written by Margaret Schwan Smith and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Education categories.
Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Improving Instruction In Geometry And Measurement
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Author : Margaret Schwan Smith
language : en
Publisher: Teachers College Press
Release Date : 2005-01-01
Improving Instruction In Geometry And Measurement written by Margaret Schwan Smith and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Education categories.
Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Implementing Standards Based Math Instruction
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Author : Mary Kay Stein
language : en
Publisher: Teachers College Press
Release Date : 2009
Implementing Standards Based Math Instruction written by Mary Kay Stein and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. Author Mary Kay Stein and her colleagues at the QUASAR Project at the University of Pittsburgh present prevalent cases of mathematics instruction drawn from their research of nearly 500 classroom lessons. The Mathematical Tasks Framework, developed by the authors and explained thoroughly in the book, offers teachers and teacher educators the means to evaluate instructional decisions, the choice of materials, and learning outcomes, and the case studies afford readers the opportunity to ground these ideas in actual classroom practice. Readers will gain insight about how to foster a challenging, cognitively rich, and exciting classroom climate that propels students toward a richer understanding of mathematics. “If every teacher and teacher educator took the opportunity to study and discuss these cases, students everywhere would know and value mathematics as the national standards have envisioned.” —Susan Loucks-Horsley, Director of Professional Development for the National Institute for Science Education “The power of case discussions can be fully realized using this book as a tool. Equally important, teachers will be highly motivated because they see their own practice mirrored in the cases.” —Carne Barnett, WestEd, San Francisco, CA
The Handbook Of Mathematics Teacher Education Volume 2
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Author :
language : en
Publisher: BRILL
Release Date : 2008-01-01
The Handbook Of Mathematics Teacher Education Volume 2 written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Education categories.
The Handbook of Mathematics Teacher Education, the first of its kind, addresses the learning of mathematics teachers at all levels of schooling to teach mathematics, and the provision of activity and programmes in which this learning can take place. It consists of four volumes. Volume 2, Tools and Processes in Mathematics Teacher Education, focuses on the “how” of mathematics teacher education. In this volume, the authors share with the readers their invaluable experience in employing different tools in mathematics teacher education. This accumulated experience could assist teacher educators, researchers in mathematics education and those involved in policy decisions on teacher education in making decisions about both the tools and the processes to be used for various purposes in mathematics teacher education. There are four sections. The first describes and discusses four successful ways of using cases in mathematics teacher education, including narratives, mathematics case discussions, video-recordings, and lesson studies. The second presents predominant tools that are used in mathematics teacher education, two textual tools (written tasks and examples) and two physical tools (manipulatives and machines). The third section suggests ways in which the accumulated research on common students’ ways of thinking contributes to the development of tools and processes in mathematics teacher education. The last section provides critical response and general perspective, raising questions such as: How can the teaching of mathematics be used as a tool to promote general educational values? What are the dimensions of proficient teaching? The concluding chapter offers a provisional framework consisting of a set of seven dimensions of proficiency for teaching mathematics. Together, the chapters provide various promising tools and processes for facilitating the acquisition of major proficiencies needed for teaching mathematics, and principles that could guide the selection and use of such tools. Bibliographical Information for the complete set: VOLUME 1: Knowledge and Beliefs in Mathematics Teaching and Teaching Development Peter Sullivan, Monash University, Clayton, Australia and Terry Wood, Purdue University, West Lafayette, USA (eds. ) paperback: 978-90-8790-541-5, hardback: 978-90-8790-542-2, ebook: 978-90-8790-543-9 VOLUME 2: Tools and Processes in Mathematics Teacher Education Dina Tirosh, Tel Aviv University, Israel and Terry Wood, Purdue University, West Lafayette, USA (eds. ) paperback: 978-90-8790-544-6, hardback: 978-90-8790-545-3, ebook: 978-90-8790-546-0 VOLUME 3: Participants in Mathematics Teacher Education: Individuals, Teams, Communities and Networks Konrad Krainer, University of Klagenfurt, Austria and Terry Wood, Purdue University, West Lafayette, USA (eds. ) paperback: 978-90-8790-547-7, hardback: 978-90-8790-548-4, ebook: 978-90-8790-549-1 VOLUME 4: The Mathematics Teacher Educator as a Developing Professional Barbara Jaworski, Loughborough University, UK and Terry Wood, Purdue University, West Lafayette, USA (eds. ) paperback: 978-90-8790-550-7, hardback: 978-90-8790-551-4, ebook: 978-90-8790-552-1
Designing Everyday Assessment In The Science Classroom
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Author :
language : en
Publisher: Teachers College Press
Release Date : 2005
Designing Everyday Assessment In The Science Classroom written by and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Education categories.
This book describes how middle school science teachers, in collaboration with a team of researchers, tried to improve their everyday assessment practices to enhance student learning. It discusses the challenges they faced, the differences among the teachers, and the personal nature of deep educational change. A product of CAPITAL (Classroom Assessment Project to Improve Teaching and Learning), a research effort supported by the National Science Foundation, this book: Uses classroom stories to show how teachers can use a variety of formative assessment techniques to answer questions they have about their teaching.; Provides real-life examples of teachers grappling with new practices at a personal level, in their own settings and in light of their own values and beliefs; Offers suggestions for designing professional development efforts that recognize the significant variation among teachers in how they go about changing their assessment practices ; Outlines principles and practices that must accompany change in the classroom if it is to be more than superficial.
Expertise In Mathematics Instruction
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Author : Yeping Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-15
Expertise In Mathematics Instruction written by Yeping Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-15 with Education categories.
Accumulated research findings in past decades have led to the common knowledge that teachers’ professional knowledge is essential to effective classroom instruction. However, there is still very limited understanding about the nature of teachers’ expertise in mathematics instruction. Expertise in Mathematics Instruction addresses this need clearly and concisely. In particular, it examines all aspects of emphases employed to characterize the nature of expertise in mathematics instruction from both researchers’ and practitioners’ perspectives. Moreover, with research contributions from both the East and the West, this book also examines ideas pertinent to fostering and demonstrating expertise in mathematics instruction within different system contexts. This book will raise questions and issues for mathematics education researchers to guide a critical examination of what can be learned from other education systems. Expertise in Mathematics Instruction builds on its theoretical and methodological approach with contributions from international experts in the field. Additionally, a review of related research from mathematics education serves as an introduction to the new research in both Eastern and Western settings. Concluding this resource is a reflection on the benefits of this international collaboration and possible research directions for the future. The final chapter cohesively joins traditional and current research for action. Expertise in Mathematics Instruction is of interest to researchers in mathematics education, mathematics teacher educators, and mathematics educators.
Teaching And Learning Proof Across The Grades
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Author : Despina A. Stylianou
language : en
Publisher: Routledge
Release Date : 2010-09-23
Teaching And Learning Proof Across The Grades written by Despina A. Stylianou and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-23 with Education categories.
A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.
Cases In Mathematics Teacher Education
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Author : Margaret S. Smith
language : en
Publisher: IAP
Release Date : 2015-10-01
Cases In Mathematics Teacher Education written by Margaret S. Smith and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-01 with Mathematics categories.
(Orginally published in 2008) The goal of AMTE Monograph 4, "Cases in Mathematics Teacher Education: Tools for Developing Knowledge Needed for Teaching", is to provide detailed accounts of case use that will inform the mathematics teacher education community on the range of ways in which cases can be used to foster teacher learning and the capacity to reflect on and learn from teaching. The chapters in this monograph describe the use of cases with preservice and practicing teachers at all levels K - 12, in content and methods courses as well as professional development settings, and focus on developing various aspects of teachers' knowledge base (i.e., content, pedagogy, and students as learners). Hence, Monograph 4 should prove to be a superb resource for mathematics teacher educators.
Optimizing Elementary Education For English Language Learners
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Author : Guler, Nilufer
language : en
Publisher: IGI Global
Release Date : 2018-01-30
Optimizing Elementary Education For English Language Learners written by Guler, Nilufer and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-30 with Education categories.
Teaching English language learners has long presented challenges for teachers tasked with bringing these students to a level of language comprehension comparable to that of native speakers. These challenges and issues can lead to difficulty comprehending core academic topics for those learning the English language. Optimizing Elementary Education for English Language Learners is a critical scholarly publication that explores the importance of English as a Second Language (ESL) education as well as the challenges that can arise in striving for effective and engaging learning environments for the students involved. Featuring a broad scope of topics, such as effective lesson plans, teacher education and preparation, and the education achievement gap, this book is geared toward academicians, practitioners, and researchers seeking current research on effective teaching strategies for teachers of English language learners.
Proving In The Elementary Mathematics Classroom
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Author : Andreas J. Stylianides
language : en
Publisher: Oxford University Press
Release Date : 2016
Proving In The Elementary Mathematics Classroom written by Andreas J. Stylianides and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Education categories.
Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. The book uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom. It examines further the role of teachers in mediating the relationship between proving tasks and proving activity, including major mathematical and pedagogical issues that arise for teachers as they implement each kind of proving task. In addition to its contribution to research knowledge, the book has important implications for teaching, curricular resources, and teacher education.